CP, T and CPT in the non-perturbative formulation of chiral gauge theories

TL;DR

This paper investigates the non-perturbative formulation of chiral gauge theories on the lattice, revealing that while CP and T symmetries are broken, CPT symmetry remains preserved.

Contribution

It clarifies the symmetry-breaking properties of chiral projectors in non-perturbative lattice formulations, specifically showing the breaking of CP and T symmetries.

Findings

CP symmetry is broken in the lattice formulation.

T symmetry is also broken, while CPT symmetry remains intact.

Provides insight into symmetry properties of chiral gauge theories on the lattice.

Abstract

In spite of significant recent progress on the non-perturbative formulation of chiral gauge theories there remained several unsolved problems. One of them is the puzzle that the left- and right-handed projectors, and so the left- and right-handed actions, break CP-symmetry on the lattice. We show in this letter that they break T-symmetry also, while CPT remains intact.